LCM of 626, 927, 450, 969, 866
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 626, 927, 450, 969, 866 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 626, 927, 450, 969, 866. So, keep reading to learn more.
Given numbers are 626,927,450,969,866
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,927,450,969,866 is 2029011435450.
Find LCM of 626,927,450,969,866 with Prime Factorization
| 2 | 626, 927, 450, 969, 866 |
| 3 | 313, 927, 225, 969, 433 |
| 3 | 313, 309, 75, 323, 433 |
| 313, 103, 25, 323, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 313 x 103 x 25 x 323 x 433 = 2029011435450
Therefore, the lowest common multiple of 626,927,450,969,866 is 2029011435450.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
626 x 927 x 450 x 969 x 866 = 219133235028600
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
626 : 1, 2, 313, 626
927 : 1, 3, 9, 103, 309, 927
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
969 : 1, 3, 17, 19, 51, 57, 323, 969
866 : 1, 2, 433, 866
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,927,450,969,866, is 1.
Now, the common factors can be found like this.
626:2x 313
927:3x 3x 103
450:2x 3x 3x 5x 5
969:3x 17x 19
866:2x 433
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3 = 108
Therefore, the value for common factors is 108.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 219133235028600/(1x108)
LCM = 219133235028600/108
LCM = 2029011435450
Thus, we can understand that the LCM of 626,927,450,969,866 is 2029011435450.
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FAQs on LCM of 626, 927, 450, 969, 866
1. What is the LCM of 626, 927, 450, 969, 866?
Answer: LCM of 626, 927, 450, 969, 866 is 2029011435450.
2. How to calculate the LCM of 626, 927, 450, 969, 866?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 626, 927, 450, 969, 866.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.